Vermeer had a frustrating evening as nearly every Dortmund shot in the first half resulted in a goal. Did not make any glaring errors, but will feel he could have done better.
Made a crucial interception early in the first half to prevent Gotze from sending Lewandowski clean through on goal, but failed to follow the Polish striker for BVB's third goal.
R. van Rhijn
Looked dangerous going forward, but came up short in defence. Lost track of Gotze for the second, and was then beaten too easily when given the chance to make amends.
Moisander allowed Gotze too much space when the forward created Reus' opener. His positioning for Dortmund's fourth was by no means convincing as he lost sight of Lewandowski.
S. de Jong
Unable to make an impact as he struggled against Subotic and Hummels. Worked hard, but it was not De Jong's evening this time around.
Managed to hold his own down the left as he was not tested too much. Always willing to charge forward, but without much success.
Always willing to take on his opponent, but still nowhere near his form of last season. Good ball for Eriksen shortly after the interval.
Should have pegged one back after the interval but was unable to beat Weidenfeller from close range. Excellent piece of skill to set up his side's consolation.
Brought in this summer to add some much-needed experience, but let Ajax down for the opener as Reus escaped his attention.
Somewhat surprisingly given the nod ahead of Schone, but failed to justify his inclusion. Made far too many fouls, and looked nervous in possession.
Lukoki showed courage against Schmelzer, but often came out second best in one-on-one duels. Plenty of pace, but very little end product.
Was hardly tested by the Ajax attackers, but remained alert throughout the game. Prevented Eriksen from pegging one back with his good positioning, before saving Fischer's shot in the 78th minute. Could not do much about Hoesen's goal.
Solid as a rock in his defensive duties and hardly lost a duel. Capped a fine outing with the assist for Dortmund's second goal.
Not as offensive as usual as he focused on his defensive duties. Had a few difficult moments but a solid outing overall.
Subotic formed a fine partnership with Hummels at the back as they kept De Jong at bay. Superb interception in the first half to block Boerrigter's shot.
Fought out some interesting battles with Lukoki, and came out the stronger of the two on the majority of occasions. Relatively quiet going forward.
Did a fine job to neutralise De Jong in midfield and showed some neat passing. Replaced in the second half after taking Enoh's elbow to the face.
The Germany international was simply unstoppable. Set up the opener and then scored the second himself, before playing a key role in Dortmund's third and fourth goal, too.
Gundogan did not get involved as much as he would have wanted, but still put in a fine display. Always comfortable on the ball and hardly lost possession.
The least dangerous of Dortmund's attackers, but did what Klopp expects of him. Tireless runner down the wing, and always ready to cover for one of his team-mates.
The Poland international played a key role to help BVB to victory. Pounced on a rebound in the first half to make it 3-0 before doubling his personal tally after the interval with a superb finish.
A fine run and finish resulted in the opener. Looked lively throughout the match as he caused the Ajax defence plenty of trouble with his intelligent movement and silky dribbling.
Came on at half-time for the disappointing Poulsen and proved to be a significant improvement.
Showed glimpses of his immense potential after replacing Boerrigter. Unfortunate not to add his name to the scoresheet.
Introduced when the match was already out of Ajax's reach, but did cap a decent display with his first ever Champions League goal.